# Schedule of lectures of F7ABBLAD (semester B221)

Week | Par | Date | Time | Hours | Room | Subject | Teacher |
---|---|---|---|---|---|---|---|

1 | 1 | Sep 19, 2022 | 14:00 | 2 | B230 | Introduction to differential calculus -Number sets, sequences and their properties - monotony, boundedness. Supremum, infimum, maximum, minimum, and a limit of a sequence.. | RNDr. Eva Feuerstein, Ph.D. |

2 | 1 | Sep 26, 2022 | 14:00 | 2 | B230 | Real function of one real variable, elementary functions review, operations on functions, properties of a function, composite functions, inverse function, limit of a function, one sided limits. | RNDr. Eva Feuerstein, Ph.D. |

3 | 1 | Oct 3, 2022 | 14:00 | 2 | B230 | Application of a limit, asymptotes of a function, continuity of a function, derivative of a function, rules for differentiation. | RNDr. Eva Feuerstein, Ph.D. |

4 | 1 | Oct 10, 2022 | 14:00 | 2 | B230 | Tangent and normal lines of a function, differential of a function, derivative of composite functions, L'Hospital’s rule. | RNDr. Eva Feuerstein, Ph.D. |

5 | 1 | Oct 17, 2022 | 14:00 | 2 | B230 | Higher order derivatives, function monotonicity, local extremes, concavity/convexity of a function, points of inflection, investigation of function behavior. | RNDr. Eva Feuerstein, Ph.D. |

6 | 1 | Oct 24, 2022 | 14:00 | 2 | B230 | Taylor Polynomial. Approximation of a function by Taylor polynomial. | RNDr. Eva Feuerstein, Ph.D. |

7 | 1 | Oct 31, 2022 | 14:00 | 2 | B230 | Number series, convergence, divergence, geometric series, alternating series. Criteria of convergence. | RNDr. Eva Feuerstein, Ph.D. |

8 | 1 | Nov 7, 2022 | 14:00 | 2 | B230 | Linear algebra – Matrix intro. Gaussian elimination for solving a system of linear algebraic equations. | Ing. Václav Petrák, Ph.D. |

9 | 1 | Nov 14, 2022 | 14:00 | 2 | B230 | Linear combination of vectors, linear dependence or independence of a set of vectors. Span of a set of vectors, vector space, vector subspace, basis and dimension of vector space/subspace. | Ing. Václav Petrák, Ph.D. |

10 | 1 | Nov 21, 2022 | 14:00 | 2 | B230 | Matrices, various examples of matrices, rank of a matrix, matrix operations, square matrices and properties, inverse of a matrix. | Ing. Václav Petrák, Ph.D. |

11 | 1 | Nov 28, 2022 | 14:00 | 2 | B230 | Determinant of a square matrix, Sarrus’ rule, Laplace expansion with respect to a row or to a column. Gauss-Jordan elimination for calculation an inverse of a given matrix. | Ing. Václav Petrák, Ph.D. |

12 | 1 | Dec 5, 2022 | 14:00 | 2 | B230 | Matrix equations. Solvability of a linear algebraic equation system (LAES), Frobenius theorem, calculation of all solutions of LAES. Cramer’s rule for solving LAES with regular matrix. | Ing. Václav Petrák, Ph.D. |

13 | 1 | Dec 12, 2022 | 14:00 | 2 | B230 | Applications of Linear Algebra and Differential Calculus in solving real life problems. Part 1 Autonomous systems and Eigenvalues and eigenvectors | Ing. Václav Petrák, Ph.D. |

14 | 1 | Jan 9, 2023 | 14:00 | 2 | B230 | Applications of Linear Algebra and Differential Calculus in solving real life problems. Part 2 Conics and quadrics and their invariants and classification using determinants. | Ing. Václav Petrák, Ph.D. |

Total | 28 |